Mathematics / Year 1 / Number and Algebra / Number and place value

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Count collections to 100 by partitioning numbers using place value (ACMNA014)

Elaborations
  • understanding partitioning of numbers and the importance of grouping in tens
  • understanding two-digit numbers as comprised of tens and ones/units
General capabilities
  • Numeracy Numeracy
ScOT terms

Place value,  Counting,  Associativity

Video

What is an abacus?

An abacus is a tool that helps people solve maths problems. Why might some people still use, and encourage the use of, an abacus when there are more contemporary tools like calculators?

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reSolve: Addition: Partitioning

This sequence of two lessons explores early algebraic thinking around the concept of equivalence. Students develop equivalence understanding by partitioning numbers into two parts. They explore the commutative property and compensation as they are challenged to find all possible combinations. Each lesson is outlined in ...

Video

Importance of zero

How important is zero in place value? How would you write '50' if there was no zero?

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reSolve: Authentic Problems: Grandma's Soup

This sequence of four lessons focuses on counting large collections of objects and developing efficient counting strategies. Students explore the ambiguous nature of a 'handful' and investigate how different sized hands and different grabbing techniques will result in different quantities of macaroni. Each lesson is outlined ...

Interactive

Sites2See – number for primary

Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

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MoneySmart: Bertie's socks

This is a year 1 mathematics unit of work about shopping. The unit is intended to take about 10.5 hours of teaching and learning time. It consists of 11 student activities supported by teacher notes on curriculum, pedagogy and assessment. Student activities include responding to a story about shopping, working with Australian ...

Interactive

Number frames, by the Math Learning Centre - iTunes app

Addition and subtraction using an interactive bread frame. Encourages the use of different strategies to solve addition and subtraction problems. Drawing tools enables students to annotate work to show their understanding. Write equations with the text tool. Free when reviewed on 12/5/2015.

Interactive

The array: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for solving simple multiplications in your head such as 6x4. Work through sample questions and instructions explaining how to break up numbers into their factors. Solve multiplications by using arrays to break them up into rows and columns, then ...

Video

Recording numbers

Dodly is trying to keep count of the number of sheep in the backyard. Flynn helps Dodly to keep count by representing the numbers in different ways. They use models, drawings, strokes and numerals to keep count. Also discover the ways different cultures have recorded numbers.

Interactive

Wishball challenge: tens

Challenge your understanding of place value in whole numbers up to 99. Receive a starting number, such as 86, and work towards turning it into a target number, such as 18, within 20 turns. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting number. ...

Image

Chinese abacus, c1900

This is a rectangular wooden abacus (15.5 cm x 29 cm x 2.5 cm), made in about 1900. It has two decks (divided horizontally by the beam) of 13 rods inserted vertically in the frame. On the bottom deck there are five wooden beads on each rod and on the top deck there are two beads on each rod. The abacus has a removable wooden ...

Video

Street steppin'

Can you count to eight? Dance along with these street dancers as they step out a dance to count to eight. How good are your dance moves?

Video

Counting pirate treasure

Watch as a stingy pirate captain counts out wages in 'pieces of eight' (gold coins) for one of his crew. Watch as the pirate captain takes away pieces of eight for what he calls 'deductions'. See how much gold the crew member walks away with!

Interactive

Number trains

Arrange train carriages according to numbers on their sides. The numbers are represented in a range of formats such as words, numerals, dice dots or counting frames. Identify the numbers that come before and after starting numbers. Begin with numbers up to ten. Move on to work with larger numbers such as 40 and 50. Practise ...

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Primary mathematics: games, simulations and modelling

These seven learning activities, which focus on 'games, simulations and modelling' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use games, ...

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TIMES Module 3: Number and Algebra: multiplication and division - teacher guide

This is a 23-page guide for teachers. This module contains a description of suitable models for multiplication, a discussion of the type of problem phrased in words that requires multiplication for its solution, and mental and written strategies for multiplication. The use of the commutative, associative and distributive ...

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TIMES Module 2: Number and Algebra: addition and subtraction - teacher guide

This is a 29-page guide for teachers. The module introduces addition and subtraction of whole numbers.

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TIMES Module 1: Number and Algebra: counting and place value - teacher guide

This is a 16-page guide for teachers. It is a module introducing the concept of place value.

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Collections - comparing and ordering

This is a web resource that includes student activities and games focusing on collections to 20, accompanied by a teacher guide. Activities cover comparing collections using one-to-one correspondence, ordinal numbers with associated positional words and a game based on the traditional Japanese game of ohajiki. The resource ...

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Counting games - years 1 and 2

This is a teacher resource that includes a set of student activities including counting games, focusing on numbers to 100, accompanied by copy masters and a detailed teacher guide for each activity. The games include the Korean number counting game sam yew gew - referred to as 'sam-yuk-gu' in the Australian Curriculum. ...